110101101000001 has 2 divisors, whose sum is σ = 110101101000002. Its totient is φ = 110101101000000.

The previous prime is 110101100999999. The next prime is 110101101000017. The reversal of 110101101000001 is 100000101101011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104205795599376 + 5895305400625 = 10208124^2 + 2428025^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101101000001 - 2¹ = 110101100999999 is a prime.

Together with 110101100999999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (110101101000041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050550500000 + 55050550500001.

It is an arithmetic number, because the mean of its divisors is an integer number (55050550500001).

Almost surely, 2^{110101101000001} is an apocalyptic number.

It is an amenable number.

110101101000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101101000001 is an equidigital number, since it uses as much as digits as its factorization.

110101101000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 110101101000001 its reverse (100000101101011), we get a palindrome (210101202101012).

The spelling of 110101101000001 in words is "one hundred ten trillion, one hundred one billion, one hundred one million, one", and thus it is an aban number.